Define ?? [?] = {?(?) ? ?[?]|deg ?(?) ? ?}. One can show ?? [?]is a vector space. Let ? = {?(?) ? ?4 [?]|?(6) = 0}.
a) Find a basis for ?. Assume that for any field ?, ?? [?] is avector space
b) Extend the basis in part (a) to a basis of ?4 [?].
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